优优班--学霸训练营 > 知识点挑题
全部资源
          排序:
          最新 浏览

          50条信息

            • 1. 已知集合\(A=\left\{x|x > 1\right\} \),\(B=\left\{0,1,2,4\right\} \),则\(\left({C}_{R}A\right)∩B =\)
              A.\(\left\{0,1\right\} \)
              B.\(\left\{0\right\} \)
              C.\(\left\{2,4\right\} \)
              D.\(Φ \)
            • 2.

              \((1)\)复数\(\dfrac{2{+}i}{1{-}2i}\)的共轭复数是______.

              \((2)\)若下列两个方程\(x^{2}{+}(a{-}1)x{+}a^{2}{=}0{,}x^{2}{+}2ax{-}2a{=}0\)中至少有一个方程有实数根,则实数\(a\)的取值范围是______ .

              \((3)\)已知\(\sqrt{2{+}\dfrac{2}{3}}{=}2\sqrt{\dfrac{2}{3}}{,}\sqrt{3{+}\dfrac{3}{8}}{=}3\sqrt{\dfrac{3}{8}}{,}\sqrt{4{+}\dfrac{4}{15}}{=}4\sqrt{\dfrac{4}{15}}{,}{…}\),若\(\sqrt{6{+}\dfrac{a}{b}}{=}6\sqrt{\dfrac{a}{b}}{,}(a{,}b{∈}R)\),则\(a{+}b{=}\) ______ .

              \((4)\)在平面内,如果用一条直线去截正方形的一个角,那么截下的一个直角三角形按图\(1\)所标边长,由勾股定理有:\(c^{2}{=}a^{2}{+}b^{2}{.}\)设想正方形换成正方体,把截线换成如图\(2\)所示的截面,这时从正方体上截下三条侧棱两两垂直的三棱锥\(O{-}LMN\),如果用\(S_{1}{,}S_{2}{,}S_{3}\)表示三个侧面面积,\(S_{4}\)表示截面面积,那么你类比得到的结论是______ .

            • 3.

              已知集合\(U=\{x|x > 0\}\),\(A{= }\!\!\{\!\!{ }x|x\geqslant 2{ }\!\!\}\!\!{ }\),则\({{\complement }_{\ U}}A=\)______.

            • 4.

              已知全集\(U=\{1,2,3,4\}\),若\(A=\{1,3\}\),则\(C_{u}A=\)           \((\)    \()\)

              A.\(\{1,2\}\)                       
              B.\(\{1,4\}\)             
              C.\(\{2,3\}\)             
              D.\(\{2,4\}\)
            • 5.

              已知\(U=\{y|y={2}^{x},x⩾−1\},A=\{x| \dfrac{1}{x−1}⩾1\} \),则\({{C}_{U}}A=(\)       \()\)


              A.\([\dfrac{1}{2},2]\)
              B.\([2,+\infty )\)
              C.\([ \dfrac{1}{2},1]∪(2,+∞) \)
              D.\([ \dfrac{1}{2},1)∪(2,+∞) \)


            • 6.

              已知集合\(A{=}\{ x{|}x^{2}{-}2x{-}3{ < }0\}\),集合\(B{=}\{ x{|}2^{x{+}1}{ > }1\}\),则\({{∁}}_{B}A{=}(\)  \()\)

              A.\({[}3{,+∞})\)
              B.\((3{,+∞})\)
              C.\(({-∞,-}1{]∪[}3{,+∞})\)
              D.\(({-∞,-}1){∪}(3{,+∞})\)
            • 7.

              已知集合\(A{=}\{ x{|}x^{2}{-}2x{-}3{ < }0\}\),集合\(B{=}\{ x{|}2^{x{+}1}{ > }1\}\),则\({{∁}}_{B}A{=}({  })\)

              A.\({[}3{,}{+∞})\)
              B.\((3{,}{+∞})\)
              C.\(({-∞}{,}{-}1{]∪[}3{,}{+∞})\)
              D.\(({-∞}{,}{-}1){∪}(3{,}{+∞})\)
            • 8. 已知集合\(P=\{x|-2\leqslant x\leqslant 10\}\),\(Q=\{x|1-m\leqslant x\leqslant 1+m\}\).
              \((1)\)求集合\(∁_{R}P\);
              \((2)\)若\(P⊆Q\),求实数\(m\)的取值范围;
              \((3)\)若\(P∩Q=Q\),求实数\(m\)的取值范围.
            • 9.

              已知全集\(U=\{0,1,2,4,6,8,10\}\),集合\(A=\{2,4,6\}\),\(B=\{1\}\),则\(∁_{U}A∪B\)等于\((\)  \()\)

              A.\(\{0,8,10\}\)
              B.\(\{1,2,4,6\}\)     
              C.\(\{0,1,8,10\}\)     
              D.\(\varnothing \)
            • 10. 已知全集\(U{=}R{,}M{=}\{ x{|}y{=}\sqrt{x{-}2}\}{,}N{=}\{ x{|}x{ < }1\)或\(x{ > }3\}{.}\)求:\((1)\)集合\(M{∪}N\);\((2)M{∩}({{∁}}_{U}N)\).
            0/40

            进入组卷